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Finding the Fourth Proportional to 6,565.66, 9,840.29 and 4,219.42

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Solution

The fourth proportional to 6,565.66, 9,840.29 and 4,219.42 is: 6,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.66 : 9,840.29 = 4,219.42 : x
  2. Step 2: Convert to fraction form
    6,565.66/9,840.29 = 4,219.42/x
  3. Step 3: Cross multiply
    6,565.66x = 9,840.29 × 4,219.42
  4. Step 4: Simplify right side
    6,565.66x = 41,520,357.73
  5. Step 5: Solve for x
    x = 41,520,357.73/6,565.66
  6. Step 6: Final answer
    x = 6,323.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.